Information on Result #529978
There is no linear OA(2111, 5358, F2, 22) (dual of [5358, 5247, 23]-code), because the Johnson bound shows that N ≤ 31 903825 753549 354078 005041 603058 561117 059020 105536 478172 582414 316824 087255 074381 975867 659170 301892 094104 700326 333791 643156 922859 324950 027186 938538 832764 137317 859582 624692 210255 509027 479426 441539 943053 386881 183632 459199 683726 783822 983697 049516 601655 241491 795689 395515 721585 412900 871895 745206 066353 746446 538654 991502 753007 607192 950417 705087 507350 341528 414299 539356 636425 792639 723453 994893 701143 388745 725735 690833 338353 673497 262047 284535 057741 782668 934260 631118 821581 179643 436463 784629 698381 497051 290386 893222 924194 667132 011216 598899 752679 658298 453847 113755 698129 565673 892849 634776 586639 466736 042815 955018 402005 170294 214021 280795 350835 799784 864317 571694 289752 816008 611082 152191 685857 118105 491215 500959 911811 212967 687164 746157 324357 840557 220506 212366 288660 527585 202636 610735 643304 809692 092467 512834 876122 565248 781467 254897 289474 718138 068161 648865 773662 075907 921618 986202 455631 297339 781302 917238 459517 394734 231206 467579 011347 750191 950922 856746 221143 426451 316769 923484 564169 464074 464473 394613 606400 397998 862287 577787 042519 577947 978732 506601 070773 788795 746594 215574 656340 925961 116940 826117 364144 523012 662032 284300 160583 188933 913601 610771 759219 667690 615125 222634 906975 743147 553379 113052 099907 804936 808844 247420 000024 859097 728855 326473 011005 434942 920763 595341 641905 827022 684172 102287 310907 530156 112827 865143 154050 785391 093274 408544 123456 268145 942984 615108 016412 024314 661746 011056 205457 040873 416053 361760 490387 148381 462414 855902 636245 090517 741853 154517 570464 512915 907524 843278 799378 097847 495580 357498 085116 637753 016963 663761 601117 045271 307639 520912 436896 550289 036668 159473 477040 004348 834481 < 25247
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(2112, 5359, F2, 23) (dual of [5359, 5247, 24]-code) | [i] | Truncation | |